Two circle with radii 3cm 5cm intersect each other at a point. If the distance between their points are 4cm Find the length of the chord connecting
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Given : Two circle with radii 3 cm and 5 cm intersect each other at a point
the distance between their centers are 4 cm.
To Find : Length of chord connecting
Solution:
Let say chord = 2h
Half chord = h
3² - h² = x²
5² - h² = (4 - x)²
=> 5² - 3² = (4 - x)² - x²
=> 16 = -8x + 16
=> x = 0
3² - h² = x²
=> 3² - h² = 0
=> h = 3
=> 2h = 6
Length of chord = 6 cm
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